[PDF][PDF] Bicomplex two-parameter Mittag-Leffler function and properties with application to the fractional time wave equation.
The aim of this paper is to define the bicomplex two-parameter Mittag-Leffler function, its
region of convergence, and analyticity. Various properties, including recurrence relations …
region of convergence, and analyticity. Various properties, including recurrence relations …
Singularities of bicomplex holomorphic functions
ME Luna‐Elizarrarás… - … Methods in the …, 2024 - Wiley Online Library
In the theory of bicomplex holomorphic functions, there is not concept of isolated
singularities; that is, such functions do not have singularities just at a point like holomorphic …
singularities; that is, such functions do not have singularities just at a point like holomorphic …
Generalized iterated function systems on hyperbolic number plane
GY Téllez-Sánchez, J Bory-Reyes - Fractals, 2019 - World Scientific
Iterated function systems provide the most fundamental framework to create many
fascinating fractal sets. They have been extensively studied when the functions are affine …
fascinating fractal sets. They have been extensively studied when the functions are affine …
The Fixed points and cross-ratios of hyperbolic möbius transformations in bicomplex space
L Chen, B Dai - Advances in Applied Clifford Algebras, 2022 - Springer
The hyperbolic Möbius transformations, which have been defined and proved to be
hyperbolic conformal in Golberg and Luna-Elizarrarás (Math Methods Appl Sci 2020 …
hyperbolic conformal in Golberg and Luna-Elizarrarás (Math Methods Appl Sci 2020 …
More about Cantor like sets in hyperbolic numbers
GY Téllez-Sánchez, J Bory-Reyes - Fractals, 2017 - World Scientific
In this paper, we discuss the construction of new Cantor like sets in the hyperbolic plane.
Also, we study the arithmetic sum of two of these Cantor like sets, as well as of those …
Also, we study the arithmetic sum of two of these Cantor like sets, as well as of those …
More About Bicomplex Möbius Transformations: Geometric, Algebraic and Analitical Aspects
ME Luna–Elizarrarás, A Golberg - Advances in Applied Clifford Algebras, 2024 - Springer
The aim of this paper is to analyze and prove different facts related with bicomplex Möbius
transformations. Various algebraic and geometric results were obtained, using the …
transformations. Various algebraic and geometric results were obtained, using the …
The Schwarz lemma in bicomplex analysis
Z Li, B Dai - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
We investigate Schwarz lemma in the framework of bicomplex numbers, which are pairs of
complex numbers making up a commutative ring with zero‐divisors. The bicomplex is a …
complex numbers making up a commutative ring with zero‐divisors. The bicomplex is a …
Solution of Bicomplex Time Fractional Schrödinger Equation Involving Bicomplex Mittag-Leffler Function
R Agarwal, UP Sharma, RP Agarwal - International Conference on …, 2023 - Springer
In this paper, we investigate the bicomplex Schrödinger's equation of fractional order and
derive its solution via Euler identity. The first order time derivative of the bicomplex …
derive its solution via Euler identity. The first order time derivative of the bicomplex …
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SE Involving, R Agarwal, UP Sharma… - … , Applied Analysis and …, 2024 - books.google.com
In this paper, we investigate the bicomplex Schrödinger's equation of fractional order and
derive its solution via Euler identity. The first order time derivative of the bicomplex …
derive its solution via Euler identity. The first order time derivative of the bicomplex …